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Finding the Fourth Proportional to 6,821.80, 10,232.70 and 4,349.29

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Solution

The fourth proportional to 6,821.80, 10,232.70 and 4,349.29 is: 6,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.80 : 10,232.70 = 4,349.29 : x
  2. Step 2: Convert to fraction form
    6,821.80/10,232.70 = 4,349.29/x
  3. Step 3: Cross multiply
    6,821.80x = 10,232.70 × 4,349.29
  4. Step 4: Simplify right side
    6,821.80x = 44,504,979.78
  5. Step 5: Solve for x
    x = 44,504,979.78/6,821.80
  6. Step 6: Final answer
    x = 6,523.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.